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Finding the Fourth Proportional to 473,729.40, 710,982.90 and 458,177.40

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Solution

The fourth proportional to 473,729.40, 710,982.90 and 458,177.40 is: 687,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,729.40 : 710,982.90 = 458,177.40 : x
  2. Step 2: Convert to fraction form
    473,729.40/710,982.90 = 458,177.40/x
  3. Step 3: Cross multiply
    473,729.40x = 710,982.90 × 458,177.40
  4. Step 4: Simplify right side
    473,729.40x = 325,756,296,566.46
  5. Step 5: Solve for x
    x = 325,756,296,566.46/473,729.40
  6. Step 6: Final answer
    x = 687,642.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.